I'm struck by how he just doesn't want to try to find any balance.
It's not abnormal to have a busy job, feel under pressure, and sometimes have to work long hours. That happens to lots of people. It's whether or not they let it take over that matters.
I'm married to a company president who spends millions of dollars of other people's money and makes decisions that will provide or lose employment for thousands of people if he does things right or wrong. It's a bit stressful, although as he often says it's not like it affects whether anyone will live or die.
He still (with occasional reminders) manages to do things like engage with the family, make dinner most nights, focus on the kids when they're struggling, make the mental space to help me especially when I'm depressed, etc. He would never ever ever ask me to share a story about him on Facebook to help his career.
It's been tough at times, but what mattered was that when he did periodically completely lose all sense of perspective, he would listen and try to get back on track. It doesn't sound like your DH has any intentions at all of listening or actually engaging.
We're also in the US btw - that's no excuse for not attempting to have a work-life balance.
One thing that has been really useful in his company was to bring in a consultant to work through with them what they'd like their company culture to be, what working styles and communication styles they had, how they could each play to their strengths. It gave people permission to be not great at everything, and to stop trying to prove they were perfect. It sounds totally wanky, but it made a difference.